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LeanPool.NFWeakPartition.NAR4H5C095M3Part045

NF weak partition development: NAR4H5C095M3Part045.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095WppRefl0333 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) (dv_S_f : f ∉ S_cls.fv) (dv_S_u : u ∉ S_cls.fv) (dv_S_x : x ∉ S_cls.fv) :
Nominal.TReflOn [(nb095AlphaDummy340 D R S_cls E, nb095AlphaDummy342 u S_cls), (nb095AlphaDummy339 D R S_cls E, nb095AlphaDummy341 u S_cls), (nb095AlphaDummy337 D R S_cls E, nb095AlphaDummy338 u S_cls E), (nb095AlphaDummy335 D R S_cls E, nb095AlphaDummy336 u S_cls E), (nb095AlphaDummy794 D R S_cls E, nb095AlphaDummy796 u S_cls E), (nb095AlphaDummy793 D R S_cls E, nb095AlphaDummy795 u S_cls E), (nb095AlphaDummy797 D R S_cls E, nb095AlphaDummy798 u S_cls E), (nb095AlphaDummy791 D R S_cls E, nb095AlphaDummy792 u S_cls E), (nb095AlphaDummy789 D R S_cls E, nb095AlphaDummy790 u S_cls E), (nb095AlphaDummy004 D R S_cls E, nb095AlphaDummy006 x u D R S_cls f E), (nb095AlphaDummy003 D R S_cls E, nb095AlphaDummy005 x u D R S_cls f E), (nb095AlphaDummy001 D R S_cls E, u), (nb095AlphaDummy002 D R S_cls E, x), (nb095AlphaDummy000 D R S_cls E, f)] (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)).fv

Checked nominal proof certificate identified upstream as nb095_wpp_refl_0333.

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    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095SplitAlpha0100 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) (dv_E_f : f ∉ E.fv) (dv_E_u : u ∉ E.fv) (dv_E_x : x ∉ E.fv) (dv_S_f : f ∉ S_cls.fv) (dv_S_u : u ∉ S_cls.fv) (dv_S_x : x ∉ S_cls.fv) :
    Nominal.TAlphaWff [(nb095AlphaDummy794 D R S_cls E, nb095AlphaDummy796 u S_cls E), (nb095AlphaDummy793 D R S_cls E, nb095AlphaDummy795 u S_cls E), (nb095AlphaDummy797 D R S_cls E, nb095AlphaDummy798 u S_cls E), (nb095AlphaDummy791 D R S_cls E, nb095AlphaDummy792 u S_cls E), (nb095AlphaDummy789 D R S_cls E, nb095AlphaDummy790 u S_cls E), (nb095AlphaDummy004 D R S_cls E, nb095AlphaDummy006 x u D R S_cls f E), (nb095AlphaDummy003 D R S_cls E, nb095AlphaDummy005 x u D R S_cls f E), (nb095AlphaDummy001 D R S_cls E, u), (nb095AlphaDummy002 D R S_cls E, x), (nb095AlphaDummy000 D R S_cls E, f)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy793 D R S_cls E)) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy794 D R S_cls E)) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy795 u S_cls E)) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy796 u S_cls E)) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u))))).neg)

    Checked nominal proof certificate identified upstream as nb095_split_alpha_0100.

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      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095SplitAlpha0101 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) (dv_D_f : f ∉ D.fv) (dv_D_u : u ∉ D.fv) (dv_D_x : x ∉ D.fv) (dv_E_f : f ∉ E.fv) (dv_E_u : u ∉ E.fv) (dv_E_x : x ∉ E.fv) (dv_R_f : f ∉ R.fv) (dv_R_u : u ∉ R.fv) (dv_R_x : x ∉ R.fv) (dv_S_f : f ∉ S_cls.fv) (dv_S_u : u ∉ S_cls.fv) (dv_S_x : x ∉ S_cls.fv) (dv_f_u : f ≠ u) (dv_f_x : f ≠ x) (dv_u_x : u ≠ x) :
      Nominal.TAlphaWff [(nb095AlphaDummy004 D R S_cls E, nb095AlphaDummy006 x u D R S_cls f E), (nb095AlphaDummy003 D R S_cls E, nb095AlphaDummy005 x u D R S_cls f E), (nb095AlphaDummy001 D R S_cls E, u), (nb095AlphaDummy002 D R S_cls E, x), (nb095AlphaDummy000 D R S_cls E, f)] ((Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E)) (Compiler.CompactSourceSyntax.synCin R (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E))))) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E))))))) (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E))).imp (Compiler.CompactSourceSyntax.synWbr (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E))) (Compiler.CompactSourceSyntax.synCin S_cls (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E))))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E))))))) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E))))) ((Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCin R (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))) (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E))).imp (Compiler.CompactSourceSyntax.synWbr (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E))) (Compiler.CompactSourceSyntax.synCin S_cls (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))))) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E)))))

      Checked nominal proof certificate identified upstream as nb095_split_alpha_0101.

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